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researcher

P. Beirne

2 papers hereh-index 462 citations14 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author1
  • first author1

Across the 2 of 2 papers where every author was matched, so the position is known.

fields
  • math.GT1
  • math.NT1

identity via Semantic Scholar / OpenAlex

most citedq-series and tails of colored Jones polynomials

11 citations · 11 across the 1 of their papers we have counts for

collaborators

2 papers

math.GT2019

On the 2-head of the colored Jones polynomial for pretzel knots

Paul Beirne

In this paper, we prove a formula for the 2-head of the colored Jones polynomial for an infinite family of pretzel knots. Following Hall, the proof utilizes skein-theoretic techniq…

math.NT2016★ 11 cited

q-series and tails of colored Jones polynomials

Paul Beirne, Robert Osburn

We extend the table of Garoufalidis, Le and Zagier concerning conjectural Rogers-Ramanujan type identities for tails of colored Jones polynomials to all alternating knots up to 10…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.